Extractions: Jump to: navigation search Finite differences are composed from differences in a sequence of values, or the values of a function sampled at discrete points. Finite differences are used both in interpolation and numerical analysis , and also play an important role in combinatorics and analytic number theory . The prototypical finite difference equation is the Newton series The following 19 pages are in this category, out of 19 total. Retrieved from " http://en.wikipedia.org/wiki/Category:Finite_differences Categories Mathematical analysis Numerical analysis ... Discrete mathematics Views Personal tools Navigation Interaction Search Toolbox Languages Esperanto This page was last modified on 4 December 2006, at 07:46.

Extractions: Goals This course is concerned with making a synthesis of different numerical methods allowing the treatment of hydrodynamic problems with free-surface, such as: - Wave resistance. - Ship seakeeping. The perfect and Newtonian fluid theories are presented. Course planning Perfect Fluid theory: Afer having presented the method of three-dimensional singularities, which allow the definition of different types of singularities, the concept of the free-surface is introduced. The problem of wave resistance is then resolved by different methods: Michell, Havelock, Neumann-Kelvin. Different cases of the linear theory of the behaviour of marine structures subjected to swelling is presented: harmonic and transient modes at the fixed point and with advanced speed. These theories allow the establishment of commercial software (AQUA + REVA) which are presented and are examined in the tutorial. Newtonian fluid theory: The flow of incompressible viscous fluid in the presence of a free-surface is modeled using Navier-Stokes equations. Different methods are presented.

Finite Differences - MSN Encarta Finite Differences, branch of mathematics in which a theory of the differences between successive pairs of numbers in a sequence is developed. The http://encarta.msn.com/encyclopedia_761556779/finite_differences.html

Extractions: var s_account="msnportalencarta"; MSN home Mail My MSN Sign in ... more Hotmail Messenger My MSN MSN Directory Air Tickets/Travel Autos City Guides Election 2008 ... More Additional Reference Materials Thesaurus Translations Multimedia Other Resources Education Resources Math Help Foreign Language Help Project Planner ... Help Related Items more... Encarta Search Search Encarta about Finite Differences Also on Encarta 7 tips for funding an online degree How to succeed in the fashion industry without being a top designer Presidential Myths Quiz Advertisement Encyclopedia Article Find Print E-mail Blog It Finite Differences , branch of mathematics in which a theory of the differences between successive pairs of numbers in a sequence is developed. The results are used in many applications. The formula y n n - 1 yields, for n = 1, 2, 3, ... , the arithmetic progression 2, 5, 8, 11, 14, ... ; the differences between successive pairs are 5 - 2 = 3, 8 - 5 = 3, .... The sequence of numbers and the sequence of differences are frequently written as

Extractions: Articles Archives Start page News Contact Community General Newsletter Contact information Site map Most recommended Search the site Archive Photo Archive Video Archive Articles Archive More ... Wisdom Archive Body Mind and Soul Faith and Belief God and Religion ... Yoga Positions Site map 2 Site map finite differences A selection of articles related to finite differences More material related to Finite Differences can be found here: Index of Articles Finite Differences finite differences finite differences: Encyclopedia - Automatic differentiation In mathematics and computer algebra, automatic differentiation, or AD, sometimes alternatively called algorithmic differentiation, is a method to numerically evaluate the derivative of a function specified by a computer program. Two classical ways of doing this are: symbolically differentiate the function as an expression, and evaluate it in the point; or use finite differences. The drawback with symbolic differentiation is low speed, and the difficulty of converting a computer program into a ... Read more here: finite differences: Encyclopedia II - Numerical ordinary differential equations - Methods Two elementary methods are discussed to give the reader a feeling for the subject. After that, pointers are provided to other methods (which are generally more accurate and efficient). The methods mentioned here are analysed in the next section. Numerical ordinary differential equations - The Euler method. For more details on this topic, see Euler integration. Starting with the differential equation (1), we replace the derivative y' by the finite difference approximation

[SciPy-dev] Fdf Package, Looking For A Better Name finite_differences or divided_differences seems like a good category to me. But then, I like long descriptive names. Chuck Original Message- From http://projects.scipy.org/pipermail/scipy-dev/2004-November/002582.html

Extractions: Wed Nov 10 13:17:38 CST 2004 Hi Pearu, I developed some of these routines also and thought to put them under interpolation/fitting, as they are usually some sort of polynomial interpolation or splines. Pade would certainly fit in that category. I have a Lagrange interpolation routine to go with this also if you don't yet have one. Finite_differences or divided_differences seems like a good category to me. But then, I like long descriptive names. Chuck -Original Message- From: scipy-dev-bounces at scipy.net on behalf of Pearu Peterson Sent: Wed 11/10/2004 2:19 AM To: scipy-dev at scipy.org Scipy-dev at scipy.net http://www.scipy.net/mailman/listinfo/scipy-dev next part A non-text attachment was scrubbed... Name: not available Type: application/ms-tnef Size: 3579 bytes Desc: not available Url : http://projects.scipy.org/pipermail/scipy-dev/attachments/20041110/8ae92213/attachment.bin